Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis

Abstract

Abstract:Wire coating process is a continuous extrusion process for primary insulation of conducting wires with molten polymers for mechanical strength and protection in aggressive environments. Nylon, polysulfide, low/high density polyethylene (LDPE/HDPE) and plastic polyvinyl chloride (PVC) are the common and important plastic resin used for wire coating. In the current study, wire coating is performed using viscoelastic third grade fluid in the presence of applied magnetic field and porous medium. The governing equations are first modeled and then solved analytically by utilizing the homotopy analysis method (HAM). The convergence of the series solution is established. A numerical technique called ND-solve method is used for comparison and found good agreement. The effect of pertinent parameters on the velocity field and temperature profile is shown with the help of graphs. It is observed that the velocity profiles increase as the value of viscoelastic third grade parameter β increase and decrease as the magnetic parameter M and permeability parameter K increase. It is also observed that the temperature profiles increases as the Brinkman number Br, permeability parameter K, magnetic parameter M and viscoelastic third grade parameter (non-Newtonian parameter) β increase.

Melting Flow in Wire Coating of a Third Grade Fluid over a Die Using Reynolds’ and Vogel’s Models with Non-Linear Thermal Radiation and Joule Heating

“…From this method, we had good agreement as shown in Figure 4, Figure 5, Figure 6 and Figure 7. In order to ensure the accuracy of our results, the present results were also compared quantitatively with the published work of Zeeshan et al [44], as shown in Table 1. This comparison confirmed that our analytical results were in excellent agreement for the proposed values of the parameter and therefore we are confident about the accuracy and generality of our results.…”

“…The code was developed using the computer software MATHEMATICA Zeeshan et at. [44]. To see the range of admissible values of these parameters, the hf and hθ are plotted in Figure 2 and Figure 3 given by 20 th order approximation which took approximately less than a minute in execution.…”

Generalized Integral Transforms via the Series Expressions

“…In [16][17][18][19][20], the authors studied the series expansions of appropriate functionals which is called the Ito-Wiener-Chaos expansion. Our method introduced in Theorem 3 is also a kind of these expansions.…”

Analytical Solution of UCM Viscoelastic Liquid with Slip Condition and Heat Flux over Stretching Sheet: The Galerkin Approach

“…To solve the higher-order differential equation, the Liao's homotopy analysis method [26,27] is very useful. A detail analysis of MHD flow and heat transfer procedure of viscoelastic fluid through a porous medium in the wire coating analysis has been studied by Khan et al [28][29][30][31].…”